A complete understanding of the dynamics of entanglement [1]}, [2]}, [3]} relies on available measure that can reflect the time variation of the system of interest. Here, we utilize Concurrence [4]}, [5]} as the entanglement measure to understand the underlying dynamics in presence of initial system-bath correlations.
In addition to the quantum entanglement, coherence has been proposed as an alternative resouce for quantum information processings [6]}, [7]}, [8]}, [9]}, [10]}.It has attracted much attention over the past decade both in theory and experiment [11]}, [12]}, [13]}, [14]}. It has been shown that the coherence exists in photosynthetic complexes [15]}, [16]}, [17]}, therefore can play an important role in explaining the high efficiency of the these complexes, which in turn have technological benifits. There exist several quantifiers for coherence [7]} in a given quantum system like \(l_1\) -norm, relative entropy etc. In this work, we utilize \(l_1-\) norm which is in simple terms represents the sum of off-diagonal terms of a density matrix. Due to its important role in quantum mechanics[19]}, [20]}, quantum information [21]}, [22]}, and quantum biology [23]}, [24]}, [25]}, [26]}, the behavior of coherence during the evolution of a system is necessary to be investigated.
